The limiting behaviours for the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random polyphenylene chain

DOI10.1016/j.dam.2021.04.016zbMath1465.05043OpenAlexW3165695461MaRDI QIDQ2028070

Jinlian Zhang, Xu-hui Peng, Han Lin Chen

Publication date: 31 May 2021

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2021.04.016

zbMATH Keywords

normal distributionSchultz indexGutman indexadditive degree-Kirchhoff indexmultiplicative degree-Kirchhoff indexrandom polyphenylene chain

Mathematics Subject Classification ID

Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Related Items (4)

The expected values of Wiener indices in random polycyclic chains ⋮ Statistical analyses of a class of random pentagonal chain networks with respect to several topological properties ⋮ The statistical analysis for Sombor indices in a random polygonal chain networks ⋮ The expected values and variances for Sombor indices in a general random chain

Cites Work

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• Resistance distance and the normalized Laplacian spectrum
• Enumeration of Wiener indices in random polygonal chains
• The expected values for the Schultz index, Gutman index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random polyphenylene chain
• The expected values of Kirchhoff indices in the random polyphenyl and spiro chains
• Uniqueness of electrical currents in a network of finite total resistance
• DEGREE DISTANCE AND MINIMUM DEGREE

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